## References

Chugunov, V.A. and Wilchinsky, A.V.. 1996. Modelling of a marine glacier and ice-sheet-ice-shelf transition zone based on asymptotic analysis.
Ann. Glaciol.,
23, 59–67.

Fontelos, M.A. and Muñoz, A.I.. 2007. A free boundary problem in glaciology: the motion of grounding lines.
Interface Free Bound.,
9(1), 67–93.

Fowler, A.C. and Larson, D.A.. 1978. On the flow of polythermal glaciers. I: Model and preliminary analysis.
Proc. R. Soc. London, Ser. A,
363(1713), 217–242.

Glen, J.W.
1955. The creep of polycrystalline ice.
Proc. R. Soc. London, Ser. A,
228(1175), 519–538.

Hindmarsh, R.C.A.
1996. Stability of ice rises and uncoupled marine ice sheets.
Ann. Glaciol.,
23, 105–115.

Hutter, K.
1983. Theoretical glaciology; material science of ice and the mechanics of glaciers and ice sheets.
Dordrecht, etc., D. Reidel Publishing Co./Tokyo, Terra Scientific Publishing Co.

Lipenkov, V.Y., Salamatin, A.N. and Duval, P.. 1997. Bubbly-ice densification in ice sheets: II. Applications.
J. Glaciol.,
43(145), 397–407.

Morland, L.W. and Johnson, I.R.. 1980. Steady motion of ice sheets.
J. Glaciol.,
25(92), 229–246.

Muszynski, I. and Birchfield, G.E.. 1987. A coupled marine ice-stream–ice-shelf model.
J. Glaciol.,
33(113), 3–15.

Nowicki, S.M.J. and Wingham, D.J.. 2008. Conditions for a steady ice sheet–ice shelf junction.
Earth Planet. Sci. Lett.,
265(1–2), 246–255.

Nye, J.F.
1959. The motion of ice sheets and glaciers.
J. Glaciol.,
3(26), 493–507.

Oppenheimer, M.
1998. Global warming and the stability of the West Antarctic ice sheet.
Nature,
393(6683), 325–332.

Paterson, W.S.B.
1994. The physics of glaciers. Third edition.
Oxford, etc., Elsevier.

Rémy, F., Ritz, C. and Brisset, L.. 1996. Ice-sheet flow features and rheological parameters derived from precise altimetric topography.
Ann. Glaciol.,
23, 277–283.

Salamatin, A.N.
1989. Motion of the edge of an ice sheet.
J. Math. Sci.,
44(5), 672–675.

Salamatin, A.N. and Mazo, A.B.. 1989. Similarity analysis of the general mathematical model of an icecap glacier.
J. Math. Sci.,
44(5), 664–672.

Salamatin, A.N., Lipenkov, V.Y. and Duval, P.. 1997. Bubbly-ice densification in ice sheets: I.
Theory. J. Glaciol.,
43(145), 387–396.

Schoof, C.
2007a. Ice sheet grounding line dynamics: steady states, stability, and hysteresis.
J. Geophys. Res.,
112(F3), F03S28. (10.1029/2006JF000664.)

Schoof, C.
2007b. Marine ice-sheet dynamics. Part 1. The case of rapid sliding.
J. Fluid Mech.,
573, 27–55.

Thomas, R.H. and Bentley, C.R.. 1978. A model for Holocene retreat of the West Antarctic ice sheet.
Quat. Res.,
10(2), 150–170.

Vaughan, D.G. and Spouge, J.R.. 2002. Risk estimation of collapse of the West Antarctic ice sheet.
Climatic Change,
52(1–2), 65–91.

Vialov, S.S.
1958. Regularities of ice deformation (some results of laboratory researches).
IASH Publ.
47 (Symposium at Chamonix 1958 – *Physics of the Movement of the Ice*), 383–391.

Weertman, J.
1974. Stability of the junction of an ice sheet and an ice shelf.
J. Glaciol.,
13(67), 3–11.

Wilchinsky, A.V.
1997. Matematicheskoe modelirovanie dinamiki morskih lednikov i ih osobyh zon [Mathematical modelling of marine ice sheets and their singular zones]. (PhD thesis, Kazan State University.) [In Russian.]

Wilchinsky, A.V.
2001. Studying ice sheet stability using the method of separation of variables.
Geophys. Astrophys. Fluid Dyn.,
94(1–2), 15–45.

Wilchinsky, A.V.
2007. The effect of bottom boundary conditions in the ice-sheet to ice-shelf transition zone problem.
J. Glaciol.,
53(182), 363–367.

Wilchinsky, A.V. and Chugunov, V.A.. 2000. Ice-stream–ice-shelf transition: theoretical analysis of two-dimensional flow.
Ann. Glaciol.,
30, 153–162.

Wilchinsky, A.V. and Chugunov, V.A.. 2001. Modelling ice flow in various glacier zones.
J. Appl. Math. Mech.,
65(3), 479–493.

Wilchinsky, A.V. and Feltham, D.L.. 2004. Stability of an ice sheet on an elastic bed.
Eur. J. Mech. B – Fluids,
23(5), 681–694.

Wilchinsky, A.V., Chugunov, V.A., Glazovskiy, A.F. and Macheret, Yu.Ya.. 1998. Modelirovaniya techeniya vyvodnykh lednikov Zemli Vil’cheka, Zemlya Frantsa-Iosifa [Modelling of the flow of outlet glaciers on Vilchek Land, Franz Josef Land].
Mater. Glyatsiol. Issled.
85, 178–186. [In Russian with English summary.]